TMD fragmentation functions at N 3 LO

Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo

doi:10.1007/jhep07(2021)121

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TMD fragmentation functions at N 3 LO

Ebert, Markus A.·Mistlberger, Bernhard·Vita, Gherardo

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Abstract

We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N 3 LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and the limit of the semi-inclusive deep inelastic scattering cross section where all final-state radiation becomes collinear to the detected hadron. The required cross section is obtained by analytically continuing our recent computation of the Drell-Yan and Higgs boson production cross section at N 3 LO expanded around the limit of all final-state radiation becoming collinear to one of the initial states. Our results agree with a recent independent calculation by Luo et al.

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Ebert, Markus A., Mistlberger, Bernhard, Vita, Gherardo. 2021-07-19. TMD fragmentation functions at N 3 LO. https://doi.org/10.1007/jhep07(2021)121

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